Reconstruction of the phase of matter-wave fields using a momentum resolved cross-correlation technique

TL;DR

This paper adapts the XFROG cross-correlation technique from ultrashort laser pulse analysis to reconstruct the amplitude and phase of Bose-Einstein condensate wave functions, demonstrating high resolution and noise robustness.

Contribution

It introduces a novel application of XFROG for matter-wave fields, enabling detailed phase reconstruction of Bose-Einstein condensates.

Findings

Effective reconstruction of vortex state wave functions.

High resolution and noise stability demonstrated.

Analysis of measurement reduction impacts.

Abstract

We investigate the potential of the so-called XFROG cross-correlation technique originally developed for ultrashort laser pulses for the recovery of the amplitude and phase of the condensate wave function of a Bose-Einstein condensate. Key features of the XFROG method are its high resolution, versatility and stability against noise and some sources of systematic errors. After showing how an analogue of XFROG can be realized for Bose-Einstein condensates, we illustrate its effectiveness in determining the amplitude and phase of the wave function of a vortex state. The impact of a reduction of the number of measurements and of typical sources of noise on the field reconstruction are also analyzed.